Question

Срочно!!!! в прямоугольнике MNKL проведена диагональ MK. Напишите пояснения почему треугольник KML равен треугольнику MKN

Answer 1

 треугольники равны по     3 признаку равенства треугольников
 NK=ML.  MN=KL-противоположные стотроны , MK-общая

Answer 2

Explanation of why triangle KML is congruent to triangle MKN

To understand why triangle KML is congruent to triangle MKN, we need to consider the properties of congruent triangles. Two triangles are said to be congruent if their corresponding sides and angles are equal.

In this case, we have a rectangle MNKL, and a diagonal MK has been drawn. We want to show that triangle KML is congruent to triangle MKN.

To prove the congruence of these triangles, we can use the Side-Angle-Side (SAS) congruence criterion. According to this criterion, if two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, then the triangles are congruent.

Let's break down the proof step by step:

1. Side MK is common to both triangles KML and MKN. 2. Side KL is equal to side KN because they are opposite sides of the rectangle MNKL. 3. Angle KML is equal to angle MKN because they are vertical angles (angles formed by the intersection of two lines). 4. Therefore, we have side MK equal to side MK, side KL equal to side KN, and angle KML equal to angle MKN, which satisfies the SAS criterion for congruence.

Based on the SAS criterion, we can conclude that triangle KML is congruent to triangle MKN.

Please let me know if you need any further clarification or have any other questions!